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A preconditioner for the Ohta--Kawasaki equation

Abstract:

We propose a new preconditioner for the Ohta–Kawasaki equation, a nonlocal Cahn– Hilliard equation that describes the evolution of diblock copolymer melts. We devise a computable approximation to the inverse of the Schur complement of the coupled second-order formulation via a matching strategy. The preconditioner achieves mesh independence: as the mesh is refined, the number of Krylov iterations required for its solution remains approximately constant. In addition, the preconditioner is robu...

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Publication status:
Published
Peer review status:
Peer reviewed
Version:
Accepted Manuscript

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Publisher copy:
10.1137/16M1065483

Authors


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Department:
Christ Church
Pearson, JW More by this author
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Grant:
Center of Excellence grant to Center for Biomedical Computing at Simula Research Laboratory
Publisher:
Society for Industrial and Applied Mathematics Publisher's website
Journal:
SIAM Journal on Matrix Analysis and Applications Journal website
Volume:
38
Issue:
1
Pages:
217–225
Publication date:
2017-03-21
Acceptance date:
2016-12-03
DOI:
EISSN:
1095-7162
ISSN:
0895-4798
Pubs id:
pubs:665389
URN:
uri:2b8b5040-8a6d-4b3f-a063-d1374d8782ee
UUID:
uuid:2b8b5040-8a6d-4b3f-a063-d1374d8782ee
Local pid:
pubs:665389

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